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Engineering Drawing Unit 1 Question Bank

1. (a) A ball thrown up in the air reaches maximum height of 45 meters and travels a horizontal

distance of 75metres. Trace the path of the ball, assuming it to be parabolic.

(b) Inscribe an ellipse in a parallelogram having sides 150 mm and 100 mm long and an

included angle of 1200.

( May/June 2010(1) EEE)2. (a) The major and minor axis of an ellipse is 120&80 mm. Draw an ellipse by arcs of circles

method.

(b) The asymptotes of a hyperbola are inclined at 700 to each other. Construct the curve when

a point p on it is at a distance of 20 mm and 30 mm from the two asymptotes.( May/June 2010(2) EEE)3. Two fixed points A&B are 100 mm apart. Trace the complete path of a point P moving ( in the

same plane as that of A&B)in such a way that, the sum of its distances from A&B is always the

same and equal to 125 mm.Name the curve. Draw another curve parallel to and 25 mm away

from this curve.

(May/June 2010(3) EEE)4. The foci of an ellipse are 90 mm apart and the minor axis is 65 mm long. Determine the length

of the major axis and draw half the ellipse by concentric-circles method and other half by

oblong method.

(May/June 2010(4) EEE)5. A fixed point is 75 mm from a fixed straight line . Draw the locus of a point P moving such a way that its distance from the fixed straight line is

(i)twice its distance from the fixed point

(ii)equal to its distance from the fixed point.

Name the curves.

(May/June 2010(1) ECE)6. (a) Two points A&B are 100 mm apart. A point C is 75mm from A and 60mm from B. Draw the

ellipse passing through A,B and C.

(b) A ball thrown up in the air reaches maximum height of 45 metres and travels a horizontal

distance of 75metres. Trace the path of the ball, assuming it to be parabolic.( May/June 2010(2) ECE)7. (a) Inscribe an ellipse in a parallelogram having sides 150 mm and 100 mm long and an included angle of 1200.

(b) A point P is 30 mm and 50 mm respectively from two straight lines which are at right angles to each other.

Draw the rectangular hyperbola from P within 10 mm distance from each line.

(May/June 2010(3) ECE)8. (a) A parallelogram has sides 100 &80 mm at an included angle of 700. Inscribe an ellipse in the parallelogram.Find the major and minor axis of the curve.

(b) Draw an ellipse by concentric circles method and Find the length of the minor axis with the help of the following data: (i)major axis = 100 mm. (ii)distance between foci 80 mm.

(May/June 2010(4) ECE)9. (a) Construct a rectangular hyperbola when a point P on it is at a distance of 18 mm and 34

mm from two asymptotes. Also draw a tangent to the curve at a point 20 mm from an

asymptote.

(b) The vertex of a hyperbola is 60mm from its focus. Draw the curve, if the eccentricity is 3/2.

Draw a normal and a tangent at a point on the curve, 75mm from the directrix.

(May/June 2010(1) CSE)10. (a) The major axis of an ellipse is 100 mm long and the distance between its foci is 70 mm.

Draw the ellipse.

(b) Draw a hyperbola having the double ordinate of 100 mm, the abscissa of 60 mm and the

transverse axis of 100 mm.

(May/June 2010(2) CSE)11. (a) Construct a pentagon length of a side is 30 mm.

(b) Draw an arc passing through three points not in straight line.

(c) Construct a parabola, with the distance of the focus from the directrix as 50 mm, also draw

normal and tangent to the curve at a point 40mm from the directrix. (May/June 2010(3) CSE)12. (a) Inscribe a regular octagon in a given square of 50 mm side.

(b) Construct a parabola with base 60mm and length of the axis 40mm. Draw a tangent to the curve at point 20 from the base. Also locate the focus and directrix to the parabola.

(May/June 2010(4) CSE)13. (a) Construct a rectangular hyperbola when a point p on it is at a distance of 18 mm

and 34 mm from two asymptotes. Also draw a tangent to the curve at a point 20

mm from an asymptote.

(b) A parallelogram has sides 100 & 80 mm at an included angle of 700. Inscribe an

ellipse in the parallelogram. Find the major and minor axis of the curve.

(May/June 2010(R7) Civil Engineering)

14. (a) construct a pentagon length of a side is 30 mm.

(b) Draw an arc passing through three points not in straight line.

(c) Construct a parabola, with the distance of the focus from the directrix as 50 mm,

also draw normal and tangent to the curve at a point 40mm from the directrix.

(May/June 2011(1) Aeronautical Engineering)15. (a) Inscribe a regular octagon in a given square of 50 mm side.

(b) A circle of 45mm diameter rolls along the inside of another circle of 180mm

diameter draw the path described by a pint on the circumference of the rolling

circle of one complete revolution Draw a tangent and normal at a point on the

curve.

(May/June 2011(2) Aeronautical Engineering)16. (a) Draw one turn of the involutes of a circle 50mm in diameter draw a tangent and

normal to the curve at a pint 80mm from the centre of the circle.

(b) Inscribe a pentagon in a circle of 50 mm diameter

(c) Construct an ellipse, with distance of the focus from the directrix as 50 and

eccentricity as 2/3. Also draw normal and tangent to the curve at a point 40 from

the directrix.

(May/June 2011(3) Aeronautical Engineering)17. (a) A circle of 40mm diameter rolls on a straight line without slipping. In the initial

position, the diameter PQ of the circle is parallel to the line on which it rolls. Draw

the locus of the points P and Q for one complete revolution of the circle.

(b) Draw the curve traced out by the end of the thick wire unwound from an

equilateral triangle of side 20mm, the wire being kept tight.

(May/June 2011(4) Aeronautical Engineering)18. (a) The asymptotes of a hyperbola are inclined at 700 to each other.

Construct the curve when a point p on it is at a distance of 20mm and 30mm from the two asymptotes.

(b) Draw one turn of the involutes of a hexagon whose inscribed circle is

30mm in diameters.

(May/June 2011(1) Mechanical Engineering)19. (a) A circle of 40mm diameter rolls along a line for one revolution clockwise.

Draw a locus of a point on the circle, which is in contact with the line.

(b) Two concentric Discs of 40 mm and 50 mm diameters roll on the

horizontal line AB 150mm long. Both discs start at the same point and roll

in the same direction. Plot the curves for the movement of the points lying

on their circumferences.(May/June 2011(2) Mechanical Engineering)20. A circle of 60 mm diameter rolls on a horizontal line for a half revolution and then on a vertical line for another half revolution. Draw the curve traced out by a point p on the circumference of the circle.

(May/June 2011(3) Mechanical Engineering)21. A circle of 50 mm diameter rolls on the circumference of another circle of 175

mm diameter and outside it .trace the locus of a point on the circumference of

the rolling circle for one complete revolution. Name the curve draw a tangent

and normal to the curve at a point 125 mm from the center of the directing

circle.

(May/June 2011(4) Mechanical Engineering)22. (a) A circle of 75 mm diameter rolls on another circle of 115 mm diameter

with internal contact. Draw the locus of a point on the circumference of the

rolling circle for its one complete revolution.

(b) Draw the involute of an equilateral triangular of side 20mm.

(May/June 2011(1) CSE)

23. A circle of 50 mm diameter rolls without slipping on the outside of another circle of

diameter 150mm.show the path of a point on the periphery of the (generating) rolling

circle, diametrically opposite to the initial point of contact between the circle.

(May/June 2011(2) CSE)24. A circle of 50 mm diameter , rolls on a horizontal line for half a revolution

clockwise and then on a line inclined 600 to the horizontal for another half ,

clockwise , draw the curve traced by point P on the circumference of the

circle , taking the top most point on the rolling circle has the initial position of

the generating point.

(May/June 2011(3) CSE)25. Construct a hypocycloid rolling circle 50 mm diameter and directing circle 175

mm diameter.Draw a tangent to it at a point 50 mm from the center of the

directing circle.

(May/June 2011(4) CSE)26. A circle of 60 mm diameter rolls on a horizontal line for a half revolution and

then on a vertical line for another half revolution. Draw the curve traced out

by a point p on the circumference of the circle.

(December 2010(R09) Aeronautical Engineering)27. (a) The asymptotes of a hyperbola are inclined at 700 to each other.

Construct the curve when a point p on it is at a distance of 20 and 30

from the two asymptotes.

(b) Draw one turn of the involutes of a hexagon whose inscribed circle is

30mm in diameters.

(December 2010(R09) ECE)28. A circle of 60 mm diameter rolls without slipping on the outside of another

circle of diameter 150 mm. Show the path of a point on the periphery of the

(generating)rolling circle, diametrically opposite to the initial point of contact

between the circle

(December 2010(R09) CSE)29. A cricket ball thrown from 1.5 m height reaches the wicket keepers gloves at 0.5m from

ground. Maximum height reached by the ball is 5m. The ball travels a horizontal distance of

11 m from the point of projection. Trace the path of the ball. (use a scale of 1:50)

(December 2010(R7) EEE)30. (a) The major and minor axis of an ellipse is 120mm&80 mm. draw an ellipse by arcs of circles method.

(b) The asymptotes of a hyperbola are inclined at 700 each other. Construct the

curve when a point p on it is at a distance of 20mm and 30mm from the two asymptotes.

(November/December 2011(R9) EEE)

31. (a) Inscibe an ellipse in a parallelogram having sides 150 mm and 100 mm long and

an included angle of 1200.

(b) A point P is 30 mm and 50 mm respectively from two straight lines which are at

right angles to each other .Draw the rectangular hyperbola from p within 10 mm

distance from each line.

(November/December 2011(R9) ECE)32. (a) The major axis of an ellipse is 100 mm long and the distance between its foci is

70 mm.draw the ellipse.

(b) Draw a hyperbola having the double ordinate of 100 mm, the abscissa of 60 mm

and the transverse axis of 100 mm.(November/December 2011(R9) CSE)

33. The foci of an ellipse are 90 mm a part and the minor axis is 65 mm long. Determine

the length of the major axis and draw half the ellipse by concentric circles method

and another half by oblong method. Draw normal and tangent to the ellipse at a

distance 30 mm from one of the foci.(November/December 2011(R7) EEE)34. (a) To construct a pentagon length of a side is 30 mm.

(b) To draw an arc passing through three points not in straight line.

(c) Construct a parabola, with the distance of the focus from the directrix as 50 mm, also draw normal and tangent to the curve at a point 40 from the directrix.

(May 2012(1) CSE)

35. (a) A circle of 75 mm diameter rolls on another circle of 115 mm diameter with internal contact. Draw the locus of a point on the circumference of the rolling circle for its one complete revolution.

(b) Draw the involute of an equilateral triangular of side 20 mm. (May 2012(2) CSE)36. (a) Draw a hypo-cycloid of a circle of 40 diameters, which rolls inside another circle

of 160mm diameters, for one revolution counter clockwise.

(b) Draw the involute of a regular hexagon of side 20. Draw a tangent and normal to

the curve at a distance of 100mm from the center of the hexagon. (May 2012(3) CSE)37. (a) A circle of diameter 40 mm rolls inside another circle of radius 60 mm. draw the

hypo cycloid traced by a point on the rolling circle initially in contact with the

directing circle for one revolution.

(May 2012(4) CSE) (b) A circle of 50 mm diameter rolls along a line for one revolution clock-wise. Draw

the locus of the point on the circle, which is in contact with the line.

38. (a) The asymptotes of a hyperbola are inclined at 700 to each other.

Construct the curve when a point p on it is at a distance of 20 and 30 from

the two asymptotes.

(b) Draw one turn of the involutes of a hexagon whose inscribed circle is

30mm in diameters.

(May/June 2011(1) ECE)39. (a) A circle of 40 diameter rolls along a line for one revolution clockwise.

Draw a locus of a point on the circle, which is in contact with the line.

(b) Two concentric Discs of 40 mm and 50 mm diameters roll on the

horizontal line AB 150 mm long. Both discs start at the same point and

roll in the same direction. Plot the curves for the movement of the points

lying on their circumferences.

(May/June 2011(2) ECE)40. A circle of 60 mm diameter rolls on a horizontal line for a half revolution and then on a vertical line for another half revolution. Draw the curve traced out by a point p on the circumference of the circle.(May/June 2011(3) ECE)41. A circle of 50 mm diameter rolls on the circumference of another circle of 175 mm diameter and outside it .trace the locus of a point on the circumference of

the rolling circle for one complete revolution. Name the curve draw a tangent

and normal to the curve at a point 125 mm from the center of the directing

circle.

(May/June 2011(4) ECE)42. (a) Draw the involute of a circle 40 mm diameter. Draw a tangent and normal to the curve at a point 95 mm from the center of the circle.

(b) Draw the involute of a regular hexagon of side 25mm. Draw a tangent and normal to the curve at a distance of 100mm from the center of the hexagon.

(May 2012(1) EIE)43. (a) A circle of 40mm diameter rolls along a line for one revolution clockwise. Draw a

locus of a point on the circle, which is in contact with the line. Also draw a tangent

and a normal to the curve at a point 35mm from the directing line.

(b) Draw an involute of a circle of 30 mm diameter for one complete revolution.

(May 2012(2) EIE)

44. (a) Draw the involute of an equilateral triangular of side 20 mm.

(b) A tread of length 165 mm is wound round a circle of 40 mm diameter. Trace the

path of end point of the tread.

(May 2012(3) EIE)

45. A circle of 60 mm diameter rolls without slipping on the outside of another circle of diameter 150 mm. Show the path of a point on the periphery of the (generating)rolling circle, diametrically opposite to the initial point of contact between the circle

(May 2012(4) EIE)

46. The foci of an ellipse are 90 mm a part and the minor axis is 65 mm long. Determine

the length of the major axis and draw half the ellipse by concentric circles method

and another half by oblong method. Draw normal and tangent to the ellipse at a

distance 30 mm from one of the foci.(November/December 2011(R7) EEE)